矢量介子和重子八重态相互作用及其动力学生成的共振态的分波分析(英文)
Dynamically Generated Resonances in the Partial Wave Analysis of the Vector Meson- octet Baryon Interaction
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摘要: 研究了t 道、s 道、u 道和由张量相互作用项导致的接触项对矢量介子和重子八重态之间的相互作用势的贡献。在分波分析的框架下，求解了耦合道的李普曼–施温格方程，研究了动力学生成的奇异数S = 0，同位旋为I =1/2 的重子共振态N(1650)1/2− 和N(1700)3/2−，N(1895)1/2− 和N(1875)3/2−，N(2120)3/2−，以及同位旋I = 3/2 的重子共振态Δ(1620)1/2− 和Δ(1700)3/2−的质量、衰变宽度、和角动量等性质。另外，计算结果表明，在2 000 MeV附近存在着JP =1/2− 的N(2120)3/2− 的对偶共振态。The interaction kernels between vector mesons and octet baryons are calculated explicitly with a summation of t-, s-, u- channel diagrams and a contact term originating from the tensor interaction.Many resonances are generated dynamically in different channels of strangeness zero by solving the coupled-channel Lippman-Schwinger equations with the method of partial wave analysis, and their total angular momenta are determined. The spin partners N(1650)1/2− and N(1700)3/2−, N(1895)1/2− and N(1875)3/2−, and the state N(2120)3/2− are all produced respectively in the isospin I =1/2 sector. In the isospin I =3/2 sector, the spin partners Δ(1620)1/2− and Δ(1700)3/2− are also associated with the pole in the complex energy plane. According to the calculation results, a JP =1/2− state around 2 000 MeV is predicted as the spin partner of N(2120)3/2−.Abstract: The interaction kernels between vector mesons and octet baryons are calculated explicitly with a summation of t-, s-, u- channel diagrams and a contact term originating from the tensor interaction.Many resonances are generated dynamically in different channels of strangeness zero by solving the coupled-channel Lippman-Schwinger equations with the method of partial wave analysis, and their total angular momenta are determined. The spin partners N(1650)1/2− and N(1700)3/2−, N(1895)1/2− and N(1875)3/2−, and the state N(2120)3/2− are all produced respectively in the isospin I =1/2 sector. In the isospin I =3/2 sector, the spin partners Δ(1620)1/2− and Δ(1700)3/2− are also associated with the pole in the complex energy plane. According to the calculation results, a JP =1/2− state around 2 000 MeV is predicted as the spin partner of N(2120)3/2−.
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